[towqnolb] Fuzzy chess puzzle

Compose a chess position which encodes two chess problems: 1. White to play and win; 2. Black to play and win.

In combinatorial game theory, such a position is called fuzzy or incomparable with zero.  The star game is the simplest fuzzy position.

As is the custom with chess problems, both problems should be elegant: economical, no dual solutions, etc.

This has almost certainly already been done.  Such puzzles exhibit an additional form of economy: not having to specify who is to move.

Kings on h1 and a8, each behind their own pawns on g2 h2, a7 b7.  White rook h3; black rook on a6.